83749 has 4 divisors (see below), whose sum is σ = 84780. Its totient is φ = 82720.

The previous prime is 83737. The next prime is 83761. The reversal of 83749 is 94738.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (83737) and next prime (83761).

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 50625 = 182^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 83749 - 2⁵ = 83717 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (21195).

2⁸³⁷⁴⁹ is an apocalyptic number.

83749 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

83749 is a deficient number, since it is larger than the sum of its proper divisors (1031).

83749 is an equidigital number, since it uses as much as digits as its factorization.

83749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030.

The product of its digits is 6048, while the sum is 31.

The square root of 83749 is about 289.3941948277. The cubic root of 83749 is about 43.7515264774.

It can be divided in two parts, 8 and 3749, that multiplied together give a palindrome (29992).

The spelling of 83749 in words is "eighty-three thousand, seven hundred forty-nine".